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Finding the Fourth Proportional to 961,160,647.60, 1,348,686,006.80 and 961,160,647.60

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Solution

The fourth proportional to 961,160,647.60, 1,348,686,006.80 and 961,160,647.60 is: 1,348,686,006.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,160,647.60 : 1,348,686,006.80 = 961,160,647.60 : x
  2. Step 2: Convert to fraction form
    961,160,647.60/1,348,686,006.80 = 961,160,647.60/x
  3. Step 3: Cross multiply
    961,160,647.60x = 1,348,686,006.80 × 961,160,647.60
  4. Step 4: Simplify right side
    961,160,647.60x = 1,296,303,915,704,945,920
  5. Step 5: Solve for x
    x = 1,296,303,915,704,945,920/961,160,647.60
  6. Step 6: Final answer
    x = 1,348,686,006.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.